I always have my trainer start off my horses. My reasoning being it's worth my health and risking injury. Rather have her do the dirty work and deal with the first few bucks, rears whatever it is that comes up
Once they have the basic 3 gates, then I stop the personal training and I start riding them and do the rest of the training WITH lessons with my trainer.
Good basics is the most important thing to start off right and continue on good training from there on :)